Grade: 7 Unit: 5 Week:2 Content: Problem solving connections (Unit 4 and Unit 5) Dates: 3/11/2013 – 3/14/2013 (4 days)
Theme Essential Question: How can you use geometric formulas to solve real-world and mathematical problems?
Essential Questions: How is geometry applied and used in solving problems?
Standards
7. G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
7. G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine unique triangle, more than one triangle, or no triangle.
7. G.3 Describe the two-dimensional figures that results from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
7. G.4. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
7. G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to solve simple equations for an unknown angle in a figure
7. G. 6. Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
. Objectives:
The students will adapt their understanding of geometric mathematics in problem solving situations.
Assessment: Product:
Completion, display and/or presentation of Zoo project
Problem Solving Connections Unit 4 and Unit 5
Key Questions
Any of those listed for Units 4 and 5 (See Weekly Questions)
Observable Student Behaviors (Performance) The students can explain, display, and apply the geometric concepts for this grade level.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary:
Math
See geometry lessons
Suggested Activities:
Houghton Mifflin On Core Mathematics Middle School Grade 7 Unit 3-3, p. 65-68
Problem Solving Connections Unit 4, Buying a Home, p. 103-106
Problem Solving Connections Unit 5, Ramp Up!, p. 131 - 134
ABC Mastering the Common Core in Mathematics Chapter 13.11, p.173
Mathematics in Children's Literature: Many children's books include math concepts and can be used to help teach them in a fun way. This website includes several annotated Lists of Children's Literature including the math concepts and grade levels.
The teaching Channel currently offers videos of K-12 mathematics teaching aligned with the Common Core Sate Standards, which would be perfect for professional development with teacher teams.
7G. 1 Similar Figures, Indirect Measurement and Scale Drawings
Students have a bit of background knowledge on similar figures. This lesson takes their knowledge and applies it to the real world and how we use proportions and similar figures.
7.G. 1 Scale Drawing
The objectives are to read and to interpret maps and scales. Also, it is to use scale drawings to solve problems
7.G.2 All About Triangles
Classifying triangles by sides and angles, finding missing angle measures.
7.G.2 Triangle Inequalities
Students will observe which side lengths make a triangle and investigate the theorem stating that the largest angle is opposite the longest side of a triangle.
7. G. 3 Rectangular Prisms
Describe, analyze and reason about the properties of rectangular prisms. Contruct rectangular prisms and flat patterns using a variety of materials and tools.
7. G. 4Circumference, Volume, Surface Area
Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures.
7. G. 4 Area of a Circle
Formula for area of a circle and how to use a grid and squares to check reasonableness or answer.
7.G. 6 Circumference, Volume, Surface Area
Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures
7.G. 6 Surface Area of Prisms
This lesson will help the students with the formula for lateral area of a prism
7.G. 6 Should I Cover It Up…Or Go Around It?
While looking at geometric shapes in sports, students wll determine whether to find the area or the perimeter for each problem set before them. I have included a football field and a basketball court for challenges. Some sildes require more higher level of learning and more challenging Bloom's Taxonomy questions.
7.G. 6 Measurement Part 1: Area
This lesson activity provides introduces and provides practice in calculating the area of various shapes.
Interactivate is a set of free, online courseware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions. The site is structured around collections of activities, lessons, and discussions.
Thinkfinity Links: Search by Common Core Standards/Seventh Grade/Math Often students are confused about ‘where to start’ when solving a multi-step equation. In this lesson the equation is labeled as a ‘party’. The 'host' is labeled (x) with remaining operations being labeled according to their relationship to the host (friends, family, acquaintances, etc...). Technology assignments are used as one method to assess student understanding.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Content: Problem solving connections (Unit 4 and Unit 5)
Dates: 3/11/2013 – 3/14/2013 (4 days)
Theme Essential Question:
How can you use geometric formulas to solve real-world and mathematical problems?
Essential Questions:
How is geometry applied and used in solving problems?
Standards
- 7. G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
- 7. G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine unique triangle, more than one triangle, or no triangle.
- 7. G.3 Describe the two-dimensional figures that results from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.
- 7. G.4. Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.
- 7. G.5 Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to solve simple equations for an unknown angle in a figure
- 7. G. 6. Solve real-world and mathematical problems involving area, volume, and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.
.Objectives:
Assessment:
Product:
Key Questions
Observable Student Behaviors (Performance)
The students can explain, display, and apply the geometric concepts for this grade level.
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary:
Suggested Activities:
- Houghton Mifflin On Core Mathematics Middle School Grade 7 Unit 3-3, p. 65-68
- Problem Solving Connections Unit 4, Buying a Home, p. 103-106
- Problem Solving Connections Unit 5, Ramp Up!, p. 131 - 134
- ABC Mastering the Common Core in Mathematics Chapter 13.11, p.173
Gizmo Correlation See List with Unit Weekly planDiverse Learners
Homework: (Teacher Discretion)
Terminology for Teachers:
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
Similarities/Differences | Summarizing/Notetaking | Reinforcing/Recognition | Homework/Practice |
Non-Linguistic representation | Cooperative Learning | Objectives/Feedback |
Generating-Testing Hypothesis | Cues, Questions, Organizers
Lesson Plan in Word Format (Click Cancel if asked to Log In)
Resources:
Professional Texts:
Literary Texts
- Mathematics in Children's Literature: Many children's books include math concepts and can be used to help teach them in a fun way. This website includes several annotated Lists of Children's Literature including the math concepts and grade levels.
Click on the following link, http://libguides.nl.edu/mathinchildrenslit, and then look under Math and Literature Bibliographies.- Middle & High School: Literature in Mathematics
Many books include websites with lesson ideas.http://sci.tamucc.edu/~eyoung/middle_school_literature.html
- Lesson Plans for Using Literature in Middle and High School Mathematics (developed by Leonor and edited by Elaine)
http://sci.tamucc.edu/~eyoung/Literature%20webpages/Leonor/index.html- Miscellaneous Math and Children's Literature
http://sci.tamucc.edu/~eyoung/literature.htmlInformational Texts
Art, Music, and Media
Manipulatives
Games
Videos
SMART Board Lessons, Promethean Lessons
- 7G. 1 Similar Figures, Indirect Measurement and Scale Drawings
Students have a bit of background knowledge on similar figures. This lesson takes their knowledge and applies it to the real world and how we use proportions and similar figures.- 7.G. 1 Scale Drawing
The objectives are to read and to interpret maps and scales. Also, it is to use scale drawings to solve problems- 7.G.2 All About Triangles
Classifying triangles by sides and angles, finding missing angle measures.- 7.G.2 Triangle Inequalities
Students will observe which side lengths make a triangle and investigate the theorem stating that the largest angle is opposite the longest side of a triangle.- 7. G. 3 Rectangular Prisms
Describe, analyze and reason about the properties of rectangular prisms. Contruct rectangular prisms and flat patterns using a variety of materials and tools.- 7. G. 4Circumference, Volume, Surface Area
Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures.- 7. G. 4 Area of a Circle
Formula for area of a circle and how to use a grid and squares to check reasonableness or answer.- 7.G. 6 Circumference, Volume, Surface Area
Students will practice finding the Circumference, Volume, and Surface Area of given shapes/figures- 7.G. 6 Surface Area of Prisms
This lesson will help the students with the formula for lateral area of a prism- 7.G. 6 Should I Cover It Up…Or Go Around It?
While looking at geometric shapes in sports, students wll determine whether to find the area or the perimeter for each problem set before them. I have included a football field and a basketball court for challenges. Some sildes require more higher level of learning and more challenging Bloom's Taxonomy questions.- 7.G. 6 Measurement Part 1: Area
This lesson activity provides introduces and provides practice in calculating the area of various shapes.Other Activities, etc.
- http://www.mathgoodies.com/lessons/vol5/division.html
- http://www.math.com/school/subject1/lessons/S1U1L12GL.html
- Interactivate is a set of free, online courseware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions. The site is structured around collections of activities, lessons, and discussions.
http://www.shodor.org/interactivate/guide/Activities and tools:
http://www.shodor.org/interactivate/activities/
- Thinkfinity Links: Search by Common Core Standards/Seventh Grade/Math Often students are confused about ‘where to start’ when solving a multi-step equation. In this lesson the equation is labeled as a ‘party’. The 'host' is labeled (x) with remaining operations being labeled according to their relationship to the host (friends, family, acquaintances, etc...). Technology assignments are used as one method to assess student understanding.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
- Thinkfinity Links: Search by Common Core Standards/Seventh Grade/Math http://www.thinkfinity.org/state-standards-search
- Website tool: http://curvebank.calstatela.edu/circle/circle.htm
- The Area of a Circle-The method of rearranging http://www.themathpage.com/aTrig/area.htm
- Website tools:
http://www.ixl.com/math/grade-5/radius-diameter-circumference-and-area-of-a-circlehttp://curvebank.calstatela.edu/circle/circle.htm
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